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Finding the Third Proportional to 595,504 and 1,297,904

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Solution

The third proportional to 595,504 and 1,297,904 is: 2,828,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,504 : 1,297,904 = 1,297,904 : x
  2. Step 2: Convert to fraction form
    595,504/1,297,904 = 1,297,904/x
  3. Step 3: Cross multiply
    595,504x = 1,297,904 × 1,297,904
  4. Step 4: Simplify right side
    595,504x = 1,684,554,793,216
  5. Step 5: Solve for x
    x = 1,684,554,793,216/595,504
  6. Step 6: Final answer
    x = 2,828,788.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.